Use the factor theorem to determine whether the binomial x + 1 is a factor of the polynomial function ƒ (x) = 2x3 - 9x2 + 13x - 6.

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Mathematics

Dean

5 July, 19:49

Use the factor theorem to determine whether the binomial x + 1 is a factor of the polynomial function ƒ (x) = 2x3 - 9x2 + 13x - 6.

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Louis Barrett · Answer 1

No, it is not.

If x+1 is a factor, x=-1 would be one of the zeros.

Plug x=-1 in the polynomial to see it is results in a 0:

2 (-1) ^3-9 (-1) ^2+13 (-1) - 6=-30≠0, therefore, x+1 is not a factor.